Box volume - Soda volume = Unused volume
Answer:
= 491.45 in^3
Explanation:
* A 30 pack of soda has 30 cans
* Each soda can has:
- Diameter of 3.5 inches
- Height of 4.7 inches
* To find the volume of a cylinder we use the formula:
- Volume = π * radius^2 * height
- Where radius = diameter / 2
* Volume of one soda can:
- Radius = 3.5 inches / 2 = 1.75 inches
- Height = 4.7 inches
- Volume = π * (1.75 inches)^2 * 4.7 inches
= π * 3.0625 in^2 * 4.7 inches
= 45.36 in^3
* Volume of 30 soda cans:
- 45.36 in^3 * 30 cans = 1,360.8 in^3
* The box dimensions are:
- 4.7 inches x 21 inches x 17.5 inches
- Volume = 4.7 * 21 * 17.5 = 1,852.25 in^3
* Unused volume:
- Box volume - Soda volume
- 1,852.25 in^3 - 1,360.8 in^3
= 491.45 in^3
Therefore, the volume of the box that is unused is 491.45 in^3.
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